A1 Arim Lee

A1 Wangrok Oh

PB iet

T1 180° rotationally invariant polar code

JN Electronics Letters

VO 55

IS 1

SP 26

OP 28

AB Non-data-aided (NDA) carrier phase recovery (CPR) is one of simple CPR algorithms which simply rotates received symbols to the nearest constellation point. Unfortunately, when the NDA CPR is used with M-ary phase shift keying, it suffers inherent M-fold phase ambiguity and thus the phase ambiguity must be resolved. On the other hand, the generator matrix of polar code G can be obtained with the Kronecker product of a 2 × 2 lower triangular matrix. Hence, the Hamming weights of all columns of G are given by non-negative integer powers of 2. Based on this observation, an 180 ° rotationally invariant polar code suitable for digital communication systems employing binary phase shift keying and NDA CPR is proposed. The proposed polar code offers virtually identical performance under both 0 ° and 180 ° carrier phase offsets to that of conventional polar code with perfect CPR with identical encoding and decoding complexities.

K1 carrier phase offsets

K1 nonnegative integer powers

K1 Hamming weights

K1 M-ary phase shift keying

K1 conventional polar code

K1 NDA CPR

K1 decoding complexities

K1 perfect CPR

K1 received symbols

K1 polar code

K1 rotationally invariant polar code

K1 Kronecker product

K1 encoding complexities

K1 generator matrix

K1 fold phase ambiguity

K1 digital communication systems

K1 binary phase shift keying

K1 simple CPR algorithms

K1 nearest constellation point

K1 triangular matrix

K1 nondata-aided carrier phase recovery

DO https://doi.org/10.1049/el.2018.6303

UL https://digital-library.theiet.org/;jsessionid=4atqsjphr1gpu.x-iet-live-01content/journals/10.1049/el.2018.6303

LA English

SN 0013-5194

YR 2019

OL EN